We look at the division of 121736 by 45 
Let's see how many times 45 fits into 121736.

On to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 45

On to step 2:
45 can be fit into 12 0 times, resulting in a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 45

Let's proceed to step 3:
121 divided by 45 is 2 with a remainder of 31.
The next digit of our result is 2. 
Result so far: 2.0
If we take 90 away from 121, we end up with 31.
Append the next digit (7) from the dividend to 31 and continue with: 317 / 45

On to step 4:
45 goes into 317 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
If we take 315 away from 317, we end up with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 45

Going ahead to step 5:
When dividing 23 by 45, we get 0 with a remainder of 23.
Use 0 as the next digit of our solution. 
Result so far: 270.0
If we subtract 0 from 23, we get 23.
Take the next digit (6) from the dividend and append it to 23, then repeat: 236 / 45

Let's proceed to step 6:
45 can be fit into 236 5 times, resulting in a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 2705.0
Deduct 225 from 236 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
If we divide 110 by 45, we get 2 and a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 2705.2
If we take 90 away from 110, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
45 goes into 200 4 times with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 2705.24
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
45 goes into 200 4 times with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 2705.244
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 2705.244 and a remainder of 0.002.